Search a number
-
+
12144443024214 = 233331679447411
BaseRepresentation
bin1011000010111001100100…
…1101100110001101010110
31120222222221010002222222000
42300232121031212031112
53042433304403233324
641455025145220130
72362256422322124
oct260563115461526
946888833088860
1012144443024214
11396247a533886
121441811491646
136a12a68c9a97
142ddb19324914
15160d88c289c9
hexb0b99366356

12144443024214 has 32 divisors (see below), whose sum is σ = 27069184894080. Its totient is φ = 4035917615400.

The previous prime is 12144443024173. The next prime is 12144443024227. The reversal of 12144443024214 is 41242034444121.

12144443024214 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 4 + 4 + 430 + 2 + 4 + 214 = 666.

12144443024214 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 339705832 + ... + 339741579.

It is an arithmetic number, because the mean of its divisors is an integer number (845912027940).

Almost surely, 212144443024214 is an apocalyptic number.

12144443024214 is an abundant number, since it is smaller than the sum of its proper divisors (14924741869866).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12144443024214 is a wasteful number, since it uses less digits than its factorization.

12144443024214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679447753 (or 679447747 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 12144443024214 its reverse (41242034444121), we get a palindrome (53386477468335).

The spelling of 12144443024214 in words is "twelve trillion, one hundred forty-four billion, four hundred forty-three million, twenty-four thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 331 662 993 1986 2979 5958 8937 17874 679447411 1358894822 2038342233 4076684466 6115026699 12230053398 18345080097 36690160194 224897093041 449794186082 674691279123 1349382558246 2024073837369 4048147674738 6072221512107 12144443024214